The equations of the lines are listed below:Line 1 is y = - (1 / 3) · x - 3. So, The Correct option choice is D.Line 2 is y = x. So, The Correct option choice is I.Line 3 is y = - 3 · x + 1. So, The Correct option choice is B.Line 4 is y = - (1 / 2) · x + 3. So, The Correct option choice is F.The four lines in this problem each have equations that must be derived; the form of the slope-intercept is given below:y = m · x + bWhere:A separate variable is x.The dependent variable is y.Slope = m, Intercept = b.The formula for secant lines determines slope:m = Δy / ΔxFor Line 1Points on line 1 are as shown below,(x₁, y₁) = (0, - 3), (x₂, y₂) = (3, - 4)Slopem = [- 4 - (- 3)] / (3 - 0)m = - 1 / 3Interceptb = y - m · xb = - 3 - (- 1 / 3) · 0b = - 3Equation of the liney = - (1 / 3) · x - 3As mentioned in an option D.For Line 2Points on line 2 are as shown below,(x₁, y₁) = (0, 0), (x₂, y₂) = (2, 2)Slopem = (2 - 0) / (2 - 0)m = 1Interceptb = y - m · xb = 0 - 1 · 0b = 0Equation of the liney = xAs mentioned in an option I.For Line 3Points on line 3 are as shown below,(x₁, y₁) = (0, 1), (x₂, y₂) = (1, - 2)Slopem = (- 2 - 1) / (1 - 0)m = - 3Interceptb = y - m · xb = 1 - (- 3) · 0b = 1Equation of the liney = - 3 · x + 1As mentioned in an option B.For Line 4Points on line 4 are as shown below,(x₁, y₁) = (0, 3), (x₂, y₂) = (2, 2)Slopem = (2 - 3) / (2 - 0)m = - 1 / 2Interceptb = y - m · xb = 3 - (- 1 / 2) · 0b = 3Equation of the liney = - (1 / 2) · x + 3As mentioned in an option A.Question:-Find the equation of each line shown in the picture.A. y = - 1/2 x +1B: y= -3x+1C: y = 3x-3D: y= -1/3 x-3E: y=x+1H: y = 2x + 3F: y=-x+3I: y = x...

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